Greatest Common Factor of 972/560, 446/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/560, 446/383

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 972/560,446/383

Given fractions are 972/560,446/383

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 972,446

Greatest Common Factor of Numerators i.e. GCF of 972,446 is 2 .

LCM of Denominators means LCM of 560,383 as per the given fractions.

LCM of 560,383 is 214480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,446

GCF of Fractions 972/560,446/383 is 2/214480

2 972, 446
486, 223

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 972,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,446 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 972,446 . The biggest common factor number is the GCF number.
So the greatest common factor 972,446 is 2.

Lets's calculate LCM of 560,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 214480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214480

Therefore, the GCF of Fractions 972/560,446/383 is 2/214480

Least Common Multiple of 560,383 with GCF Formula

Least Common Multiple of 560,383 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 560,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,383) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(560,383) x common factors =1 x 1 = 1

LCM(560,383) = ( 560 × 383 ) / 1

LCM(560,383) = 214480 / 1

LCM(560,383) = 214480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 972/560, 446/383

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 972/560, 446/383?

Answer: GCF of Numerators as per given numbers 972/560, 446/383 is

GCF of Numerators i.e. for 972,446 is 2

LCM of denominators i.e. for 560,383 is 214480.

Thus, GCF of Fractions is 2/214480.Finally, GCF of Fractions for 972/560, 446/383 is 2/214480.